[KÖNYV][B] Almost automorphic type and almost periodic type functions in abstract spaces

T Diagana - 2013 - Springer
Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces presents
a comprehensive and reader-friendly introduction to the concepts of almost periodicity …

Measure theory and pseudo almost automorphic functions: New developments and applications

J Blot, P Cieutat, K Ezzinbi - Nonlinear Analysis: Theory, Methods & …, 2012 - Elsevier
In this work, we establish a new concept of weighted pseudo almost automorphic functions
using the measure theory. We present new results on weighted ergodic functions like …

[KÖNYV][B] Almost periodic stochastic processes

PH Bezandry, T Diagana - 2011 - books.google.com
This book lays the foundations for a theory on almost periodic stochastic processes and their
applications to various stochastic differential equations, functional differential equations with …

Pseudo almost automorphic solutions of recurrent neural networks with time-varying coefficients and mixed delays

C Aouiti, MS M'hamdi, A Touati - Neural Processing Letters, 2017 - Springer
In this paper, existence, uniqueness and global exponential stability of pseudo almost
automorphic solutions for a class of recurrent neural networks with time-varying coefficients …

[KÖNYV][B] Theory of translation closedness for time scales

C Wang, RP Agarwal, D O'Regan, R Sakthivel - 2020 - Springer
The theory of time scales was initiated by S. Hilger in his PhD thesis [141] in 1988 in order to
unify continuous and discrete analysis. This new and exciting type of mathematics is more …

Pseudo-almost periodic and pseudo-almost automorphic solutions to some evolution equations involving theoretical measure theory

T Diagana, K Ezzinbi, M Miraoui - Cubo (Temuco), 2014 - SciELO Chile
Motivated by the recent works by the first and the second named authors, in this paper we
introduce the notion of doubly-weighted pseudo-almost periodicity (respectively, doubly …

Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations

R Sakthivel, P Revathi, SM Anthoni - Nonlinear Analysis: Theory, Methods …, 2012 - Elsevier
Fractional stochastic differential equations have gained considerable importance due to
their application in various fields of science and engineering. This paper is concerned with …

Dynamics and oscillations of generalized high-order Hopfield neural networks with mixed delays

AM Alimi, C Aouiti, F Chérif, F Dridi, MS M'hamdi - Neurocomputing, 2018 - Elsevier
Existence and uniqueness of pseudo almost automorphic solutions for a class of high-order
Hopfield neural networks are established by employing a suitable fixed point theorem and …

Square-mean pseudo almost automorphic process and its application to stochastic evolution equations

Z Chen, W Lin - Journal of Functional Analysis, 2011 - Elsevier
This paper introduces the concept of the square-mean pseudo almost automorphy for a
stochastic process. Also it introduces the properties on the completeness and the …

Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients

T Diagana - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
This paper introduces and studies the notion of Sp-pseudo-almost automorphy (or Stepanov-
like pseudo-almost automorphy), which generalizes in a natural fashion the concept of …